Name______Surface Area and Volume Mixed Word Problems

Date______

Block______

1) Write if you are using surface area or volume for each problem.

2) Solve. You may use a calculator as long as you show what you put in your calculator.

  1. Ashwini wants to paint her jewelry box blue. The jewelry box is in the shape of a cube and has an edge length of 4 in. How much blue paint will Ashwini need?
  1. How many square feet of cardboard does Jessica need to make a rectangular prism with length of 16 inches, width of 9 inches, and height of 4 inches?
  1. How much gift wrap is needed to cover a box which measures 3 feet by 2 feet by 3 feet?
  1. A package shaped like a cube has an edge that is 28 cm long. How much space is available to pack inside the box?
  1. Lauren needs to paint the top and sides of a rectangular prism. The prism has a length of 25 mm, a width of 15 mm, and a height of 9 mm. How much paint does she need to cover the top and sides?
  1. A cereal company decided to make an odd-shaped box for a promotion they are doing. The new design is a rectangular prism with length of 10 in, width of 8 in., and height of 4 in. and attached to the rectangular pyramid a square base of 2 in. and a height of 10 in. How much cereal will fit in the box?

7.  If the total surface area of a cube is 384 feet2, what is the side length of the cube?

8.  Cooper is painting the playhouse in the park. It is 8 feet by 4 feet by 6 feet high. Since the roof is made of shingles, he will not paint the roof. Find the surface area that he will paint.

9.  The top of the Washington Monument is a square pyramid 54 feet high and 34 feet long on each side. How much space is under the top?

10.  A quartz crystal is a hexagonal prism. It has a base area of 1.41 cm2 and a volume of 4.64cm3. What is its height?

11.  A display case is shaped like a cube. Each side of the display is 8 1/2 inches long. What is the amount of space that the display case can hold?

12.  If the rubik’s cube has a side length of 3.75 in. and 1/3 of the squares are painted a different color, how much paint of each color is needed to paint the cube?